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Question 1 sur 10 10:00

[{"id":39835,"question":"Quelle est la solution de l'équation 3x + 5 = 2x - 1 ?","option_a":"x = -6","option_b":"x = 6","option_c":"x = -4","option_d":"x = 4","option_e":"","option_f":"","bonne_reponse":"A","explication":"En soustrayant 2x et 5 des deux côtés, on obtient x = -6.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":39836,"question":"Le théorème de Pythagore s'applique-t-il à tous les triangles ?","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"B","explication":"Le théorème de Pythagore ne s'applique qu'aux triangles rectangles.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":39837,"question":"Quelle est la forme canonique d'un polynôme du second degré ax² + bx + c ?","option_a":"a(x - α)² + β","option_b":"a(x + α)² + β","option_c":"a(x - α)(x - β)","option_d":"a(x + α)(x + β)","option_e":"","option_f":"","bonne_reponse":"A","explication":"La forme canonique est a(x - α)² + β, où α et β sont des constantes.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":39838,"question":"Dans un triangle rectangle, le cosinus d'un angle est égal à :","option_a":"Adjacent \/ Hypoténuse","option_b":"Opposé \/ Hypoténuse","option_c":"Opposé \/ Adjacent","option_d":"Hypoténuse \/ Adjacent","option_e":"","option_f":"","bonne_reponse":"A","explication":"Le cosinus d'un angle est le rapport entre le côté adjacent et l'hypoténuse.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":39839,"question":"L'équation x² - 4x + 4 = 0 admet-elle deux solutions distinctes ?","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"B","explication":"Cette équation admet une solution double : x = 2.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":39840,"question":"Quelle est la dérivée de la fonction f(x) = 3x² + 2x - 5 ?","option_a":"6x + 2","option_b":"3x + 2","option_c":"6x² + 2","option_d":"3x² + 2","option_e":"","option_f":"","bonne_reponse":"A","explication":"La dérivée de 3x² est 6x, celle de 2x est 2, et celle de -5 est 0.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":39841,"question":"Dans un repère orthonormé, la distance entre les points A(1;2) et B(4;6) est :","option_a":"5","option_b":"√25","option_c":"√13","option_d":"3","option_e":"","option_f":"","bonne_reponse":"B","explication":"La distance est calculée par √[(4-1)² + (6-2)²] = √(9 + 16) = √25 = 5.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":39842,"question":"La fonction f(x) = 2x + 3 est-elle croissante sur ℝ ?","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"Le coefficient directeur 2 est positif, donc la fonction est croissante.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":39843,"question":"Quelle est la solution de l'inéquation 2x - 7 \u003E 3x + 1 ?","option_a":"x \u003C -8","option_b":"x \u003E -8","option_c":"x \u003C 8","option_d":"x \u003E 8","option_e":"","option_f":"","bonne_reponse":"A","explication":"En soustrayant 2x et 1, on obtient -8 \u003E x, soit x \u003C -8.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":39844,"question":"Le vecteur u(3; -2) a pour norme :","option_a":"√13","option_b":"5","option_c":"√5","option_d":"1","option_e":"","option_f":"","bonne_reponse":"A","explication":"La norme est √(3² + (-2)²) = √(9 + 4) = √13.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0}]